Probability and Counting

Find the probability of drawing 2 cards from a 52-card deck and both cards are face cards (King, Queen, Jack).

• .04977

• .05961

• .03967

• .04203

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(all teachers)

• .000395

• .000673

• .000412

• .000984

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(2 parents and 2 teachers)

• .17

• .16

• .15

• .14

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(all parents)

• .677

• .383

• .207

• .475

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(3 parents and 1 teacher)

• .837

• .213

• .576

• .456

In company there are 7 executives: 4 women and 3 men. Three are selected to attend a management seminar. Find P(all 3 are women)

• .8887

• .9612

• .0074

• .1143

In company there are 7 executives: 4 women and 3 men. Three are selected to attend a management seminar. Find P(all 3 are men)

• .0973

• .0224

• .0286

• .6009

In company there are 7 executives: 4 women and 3 men. Three are selected to attend a management seminar. Find P(2 men and 1 woman)

• .3429

• .2248

• .1988

• .4021

A package contains 12 resistors, 3 of which are defective. If 4 are selected randomly, find P(0 defective resistors)

• .279

• .219

• .287

• .255

A package contains 12 resistors, 3 of which are defective. If 4 are selected randomly, find P(1 defective resistor)

• .613

• .509

• .491

• .605